Practice Comparing Growth Rates (8.2.1.2.5) - Undecidability and Introduction to Complexity Theory
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Comparing Growth Rates

Practice - Comparing Growth Rates

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is time complexity?

💡 Hint: Think about how input size affects the time needed.

Question 2 Easy

Give an example of O(1) time complexity.

💡 Hint: Consider operations that do not depend on the size of data.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity of accessing an element in an array?

O(n)
O(log n)
O(1)

💡 Hint: Consider operations that involve direct access.

Question 2

True or False: An algorithm with time complexity of O(n!) is considered efficient.

True
False

💡 Hint: Recall how factorial growth behaves with increasing n.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Compare the time complexities: Why might you choose an O(n log n) algorithm over a naive O(n^2) one for sorting?

💡 Hint: Think about the difference in number of comparisons made!

Challenge 2 Hard

Create your own example of an algorithm and identify its time complexity, explaining why it falls into that category.

💡 Hint: Focus on how many times operations are repeated on average.

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